Final answer:
The mixed number 7 1/4 is converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, resulting in the fraction 29/4.
Step-by-step explanation:
The rational number 7 1/4 is equal to the fraction 29/4 when expressed as a/b, where a and b are integers. To convert the mixed number to an improper fraction, you multiply the whole number (7) by the denominator (4) and add the numerator (1), which gives you 28 + 1 = 29. Consequently, the numerator a is 29, and the denominator b remains as 4, forming the fraction 29/4.